help would be appreciated thanks !
1.)There are 10 students, 6 females, 4 males, who are running for election for the grad committee positions of chair, treasurer, and dance co-ordinatior
a.)Determine the total number of ways teh tree positions could be filled ?
10p3=720
b.)if it was necessary to have at least one female and at least one male in the three positions, determine the number of ways the three positions could be filled (use permutations)
?
2.) There are 10 students, 6female, 4 male, from which a committee of 3 is to be chosen.
a.) Determine the total number of ways the three positions could be filled?
10c3=120
b.) if it is decided that the committee cannot be made up of only males or only females, determine the number of ways the committee could be made ?
+118723 1b.)if it was necessary to have at least one female and at least one male in the three positions, determine the number of ways the three positions could be filled (use permutations)
no of all female permutations is 6P3
no of all male permutatuons is 4P3
total number of permutations 10P3
therefore number of permutations that are not all one s*x are 10P3-6P3-4P3
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2.) There are 10 students, 6female, 4 male, from which a committee of 3 is to be chosen.
a.) Determine the total number of ways the three positions could be filled? 10c3=120
b.) if it is decided that the committee cannot be made up of only males or only females, determine the number of ways the committee could be made ?
Okay I am assuming this time order doesn't matter.
so the number of combinations will be 10C3-6C3-4C3
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Probability is not my strongest area but I am pretty sure they are correct.
